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Finding the Third Proportional to 45,033.75 and 67,306.50

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Solution

The third proportional to 45,033.75 and 67,306.50 is: 100,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,033.75 : 67,306.50 = 67,306.50 : x
  2. Step 2: Convert to fraction form
    45,033.75/67,306.50 = 67,306.50/x
  3. Step 3: Cross multiply
    45,033.75x = 67,306.50 × 67,306.50
  4. Step 4: Simplify right side
    45,033.75x = 4,530,164,942.25
  5. Step 5: Solve for x
    x = 4,530,164,942.25/45,033.75
  6. Step 6: Final answer
    x = 100,594.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.